SOLUTION: The value of 7 times a fraction's denominator is added to both the numerator and the denominator, and the result is subtracted from the original fraction. If the difference is 8, f
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Question 585564: The value of 7 times a fraction's denominator is added to both the numerator and the denominator, and the result is subtracted from the original fraction. If the difference is 8, find the original fraction.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The value of 7 times a fraction's denominator is added to both the numerator and the denominator, and the result is subtracted from the original fraction.
If the difference is 8, find the original fraction.
:
- = 8
;
- = 8
multiply by 8d
8n - (n + 7d) = 8d*8
:
8n - n - 7d = 64d
7n - 7d = 64d
7n = 64d + 7d
7n = 71d
n = d
Only integer solution, d = 7 or a multiple of 7
Anyway, let's say
n = 71
d = 7
:
is the original fraction
:
See if that checks out, 7d = 49
- =
- =
- = = 8
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